Number of selected skew morphism classes of C55 is 0
Total number of skew morphisms of C55 is 80
Total number of skew morphism classes of C55 is 13
Total number of automorphisms of C55 is 40

1. Skew morphsim class of size 1
     
     of order 1
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 0
     and with auto-order 55
     φ | √φ | φ' | φ|<55>
   
   

2. Skew morphsim class of size 4
     
     of order 5
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 5
     φ | √φ | φ' | φ5
   
   

3. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

4. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

5. Skew morphsim class of size 1
     
     of order 2
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 2
     φ | √φ | φ' | φ2
   
   

6. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 4
     φ | √φ | φ' | φ4
   
   

7. Skew morphsim class of size 4
     
     of order 10
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 10
     φ | √φ | φ' | φ10
   
   

8. Skew morphsim class of size 8
     
     of order 20
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 20
     φ | √φ | φ' | φ20
   
   

9. Skew morphsim class of size 2
     
     of order 4
     with kernel of order 55
     and smallest kernel generator 1
     and power function values [ 1 ]
     and with periodicity 1
     and with complexity 1
     and with auto-order 4
     φ | √φ | φ' | φ4
   
   

10. Skew morphsim class of size 8
      
      of order 20
      with kernel of order 55
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 20
      φ | √φ | φ' | φ20
    
    

11. Skew morphsim class of size 1
      
      of order 2
      with kernel of order 55
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 2
      φ | √φ | φ' | φ2
    
    

12. Skew morphsim class of size 4
      
      of order 10
      with kernel of order 55
      and smallest kernel generator 1
      and power function values [ 1 ]
      and with periodicity 1
      and with complexity 1
      and with auto-order 10
      φ | √φ | φ' | φ10
    
    

13. Skew morphsim class of size 40
      
      of order 11
      with kernel of order 11
      and smallest kernel generator 5
      and power function values [ 1, 3, 9, 5, 4 ]
      and with periodicity 1
      and with complexity 2
      and with auto-order 5
      φ | √φ | φ' | φ|<5>